First:
We should improve Griffin's Roost's ground defenses.
Griffin's Roost is at "2," meaning it already has advanced ground defenses (If you're looking at planet asset tracker in the sheet, ground and space defense ratings mean very different things). Only way we can improve it is with Castle Brian(s), something that hasn't been researched yet, and is probably will be out of budget to research for a while.
I think that was retconned so Griffin is actually closer to the combine/suns border
It was indeed retconned, though our current position is a lot closer to the Capellan/Suns border than anything else. Originally we were closer to Capellan/League border, and a lot closer in.
Now, my thoughts on the three choices:
1. Definitely either of the latter two. Second does bring more benefits, but 3 DoME teams (even if for one turn, which is really soon for DoME) are really useful too, and Griffon IV isn't that useful yet.
2. No idea what to suggest to solve it. There are three easy options: choose home system person, choose Nowa Wazsawa person, force them to share it (which they refused to do already). Perhaps someone can come up with something better.
3. I was so happy at finally getting a chance to win this one, and then ShadowArxxy realized my design was better armed and came up with a new one. Guess Pyramids will once again not win a dropship design vote. Probably going to go with Majeure Electric one, though I guess HPGs could be useful for a dropship on a newly taken planet (or planet we haven't fully won yet) for communications until we can build a full size one. Though, I guess being able to bring along an extra dropship is pretty useful with my design.
For the first vote, just taking a bit more time to think on it, and trying to see others' thoughts. Second vote I'm looking to see what other people think up for a solution. Third vote I'm probably staying out, I try to limit myself when it comes to voting on designs including my own, unless I feel pretty strongly or feel like joining a bandwagon.
EDIT:
Putting more specific thoughts into the three designs:
Pyramid: Softest design, lacks artillery, frees logistics collar for a combat dropship escort
Electrique: Best design for combat
Lee: Middle design for combat ability, ground combat command vessel, future HPG support
In effect, pyramid design is probably the best for quickly moving forces internally, majeure electique's design is the one you want if it ends up in combat, and Lee's design is best for managing an occupation.